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Find (if possible) the general solution of each of the following 2nd-order ODEs by trying y = e x . If you can't find a
Find (if possible) the general solution of each of the following 2nd-order ODEs by trying
y = ex .
If you can't find a solution, give a reason.
(a) y'' + 7y' 8y = 0
(b) y'' + 2xy' + xy2 = 0
(c) y'' + 4y' + 4y = 0
In part (c), find the solution with initial conditions y(0) = 1, y' (0) = 0.
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